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artcher [175]
3 years ago
10

How many distinct triangles can be drawn using three of the dots below as vertices?

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

Answer:

18

Step-by-step explanation:

There are 6 dots.  The number of ways we can select 3 from 6 is:

₆C₃ = 6! / (3! (6−3)!)

₆C₃ = 6! / (3! 3!)

₆C₃ = 6×5×4 / (3×2×1)

₆C₃ = 20

However, 2 of these combinations are lines, not triangles.

So there are 18 possible distinct triangles.

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7x = 94 whats the solution im sorry im bad at math
RSB [31]
I'm assuming you mean, what equals x.

Well, if 7x = 94, we know that 7 x's = 94.

Therefore, is you divide 94 by 7, you will get your answer.


8 0
4 years ago
What is the slope of a line that is perpendicular to the line y=8x+5
statuscvo [17]

Answer:

-1/8

Step-by-step explanation:

Perpendicular slopes are negative reciprocals

The slope of y=8x+5 is 8, because it is in slope intercept form: y=mx+b form, where m is the slope.

Negative:

8/1--> -8/1

Reciprocal:

Flip the numerator and denominator

-8/1--> -1/8

So, the perpendicular slope of 8 is -1/8

4 0
3 years ago
Read 2 more answers
PLEASE HELP FOR BRAINLIEST!!!
Ratling [72]
The radius of a circle should be placed in the Z section making the answer A.
5 0
4 years ago
18 packs of socks fit into a box.
sukhopar [10]

Answer:

no. of packs in one box = 18

no. of boxes = 7

total no. of packs of socks = 18*7

=126

7 0
3 years ago
Read 2 more answers
A can of beans has surface area 337 cm2. It's heights is 11cm. What is the radius of the circular top?
Karolina [17]

Answer:

3.66 cm

Step-by-step explanation:

r = Radius of cylinder

h = Height of the cylinder = 11 cm

A = Total surface area of the cylinder = 337\ \text{cm}^2

Total surface area of a cylinder is given by

A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r(r+h)\\\Rightarrow \dfrac{A}{2\pi}=r^2+rh\\\Rightarrow r^2+rh-\dfrac{A}{2\pi}=0\\\Rightarrow r^2+11r-\dfrac{337}{2\pi}=0\\\Rightarrow r^2+11r-53.64=0\\\Rightarrow 100r^2+1100r-5364=0\\\Rightarrow r=\dfrac{-1100\pm \sqrt{1100^2-4\times 100\left(-5364\right)}}{2\times 100}\\\Rightarrow r=3.66,-14.65

So, the radius of the circular top is 3.66 cm.

6 0
3 years ago
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